Thermal and quantum fluctuations in supersymmetric Chern-Simons theory

Date

1992-02-15

Author

İpekoğlu, Yusuf
Leblanc, M.
Thomaz, M.T.

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We study radiative corrections to the Abelian self-dual Chern-Simons theory at zero and finite temperatures. The analysis is performed with the help of functional methods. We consider the supersymmetric extension of scalar matter fields minimally coupled to a gauge field whose dynamics is governed solely by the Chern-Simons term. The scalar field potential is a self-dual sixth-order polynomial with U(1)-symmetry-breaking and symmetry-preserving minima which are degenerate. We find that the zero-temperature one-loop radiative corrections do not remove this degeneracy and both minima remain supersymmetric. We calculate the leading-order finite-temperature contributions to the effective potential in the high-temperature limit and we find that the U(1)-symmetry is restored. In contrast to four-dimensional field theories that restore the U(1)-symmetry at high temperatures, the restoration of the U(1)-symmetry in the abelian self-dual Chern-Simons theory occurs at the two-loop level. The Chern-Simons system without supersymmetry is discussed, as well as the scalar field model without Chern-Simons gauge fields. The same finite temperature result emerges in these cases. © 1992.

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=0009000039&origin=inward
https://hdl.handle.net/11511/98993

Journal

Annals of Physics

DOI

https://doi.org/10.1016/0003-4916(92)90066-u

Collections

Department of Physics, Article

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Citation Formats

Y. İpekoğlu, M. Leblanc, and M. T. Thomaz, “Thermal and quantum fluctuations in supersymmetric Chern-Simons theory,” Annals of Physics, vol. 214, no. 1, pp. 160–179, 1992, Accessed: 00, 2022. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=0009000039&origin=inward.